Find an Nth Degree Polynomial Function with Real Coefficients Satisfying $\mathrm { n } = 3 ; - 1$

question 401

Multiple Choice

Find an nth degree polynomial function with real coefficients satisfying the given conditions.
- $\mathrm { n } = 3 ; - 1$ and $3 + 2 \mathrm { i }$ are zeros; leading coefficient is 1

• A) \(f ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 7 x + 13\)
• B) \(f ( x ) = x ^ { 3 } - 4 x ^ { 2 } + 7 x + 13\)
• C) \(f ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 15 x + 13\)
• D) \(f ( x ) = x ^ { 3 } + 5 x ^ { 2 } + 7 x - 14\)

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